Theorems · Theorem · order theory
ArchimedeanClass.addSubgroup_antitone
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
Antitone ArchimedeanClass.addSubgroup- Defined in
- Mathlib.Algebra.Order.Archimedean.Class
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- AddSubgroupstatement · cited by 3,232
- le_reflproof · cited by 2,061
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- eq_or_neproof · cited by 1,117
- Antitonestatement · cited by 563
- bot_leproof · cited by 306
- ArchimedeanClassstatement and proof · cited by 247
- UpperSetstatement and proof · cited by 245
- eq_top_iffproof · cited by 236
Cited by1
Results whose statement or proof uses this declaration.
- ArchimedeanClass.ballAddSubgroup_antitoneproof · cited by 0